Finite Element Method for Solid and Structural Mechanics, Volume 2
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This key text and reference for engineers, researchers and senior students deals with the analysis and modelling of structures-from large civil engineering projects such as dams and aircraft structures, through to small engineered components. Since the publication of the first edition in 1967, this complete stand-alone volume has evolved to cover the latest developments and methods that are essential for engineers and mathematicians. • Dedicated coverage of solid and structural mechanics by world-renowned authors • New material including separate coverage of solid continua and structural theories of rods, plates and shells; extended coverage of small and finite deformation; elastic and inelastic material constitution; contact modelling; problems involving solids, rigid and discrete elements; and multi-scale modelling• Accompanied by downloadable softwareTogether with the first and third self-contained volumes, The Finite Element Method Set provides a formidable resource covering the theory and the application of FEM, including the basis of the method, its application to advanced solid and structural mechanics and to computational fluid dynamics.
General Problems in solid mechanics and non-linearity; Galerkin method of approximation - irreducible and mixed forms; Solution of non-linear algebraic equations; Inelastic and non-linear materials; Geometrically non-linear problems - finite deformation; Material constitution for finite deformation; Treatment of Constraints - contact and tied interfaces; Pseudo-Rigid & Rigid-Flexible Bodies; Discrete element methods; Structural Mechanics Problems in One Dimension - rods; Plate Bending Approximation; Thick Reissner-Mindlin Plates -Irreducible & Mixed Formulations; Shells as an assembly of flat elements; Curved rods and axisymmetric shells; Shells as a special case of three-dimensional analysis; Semi-analytical finite element processes; Non-linear structural processes - large displacement and instability; Multiscale modelling; Computer procedures for finite element analysis; Appendices
